We discuss interesting properties of a general technique for inferring polynomial invariants for a subfamily of imperative loops, called the P-solvable loops, with assignments only...
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
We extend to disjunctive logic programs our previous work on computing loop formulas of loops with at most one external support. We show that for these logic programs, loop formula...
Kaltofen has proposed a new approach in (Kaltofen, 1992) for computing matrix determinants without divisions. The algorithm is based on a baby steps/giant steps construction of Kr...
Let (n) be the minimum number of arithmetic operations required to build the integer n N from the constants 1 and 2. A sequence xn is said to be "easy to compute" if the...